EduSahara™ Worksheet

Question 1

1.

In the given figure, △GHI is right angled at H. If HI = 10 cm and ∠I = 30°, find GH and GI

(i)
10
3

4
√

3

cm

&

20
3

√

3

cm
(ii)
10
3

4
√

3

cm

&

22

cm
(iii)
10
3

√

3

cm

&

20
3

√

3

cm
(iv)
10
3

cm

&

22

cm
(v)
10
3

4
√

3

cm

&

20

cm

Question 2

2.

In the given figure, △FGH is right angled at G. If GH = 11 cm and ∠H = 45°, find FG and FH

(i)
12

cm

&

11

√

2

cm
(ii)
11

cm

&

11

√

2

cm
(iii)
12

cm

&

24

cm
(iv)
12

cm

&

22

cm
(v)
9

cm

&

24

cm

Question 3

3.

In the given figure, △BCD is right angled at C. If CD = 12 cm and ∠D = 60°, find BC and BD

(i)
12

4
√

3

cm

&

24

cm
(ii)
12

4
√

1
3

cm

&

26

cm
(iii)
12

4
√

3

cm

&

26

cm
(iv)
12

√

3

cm

&

24

cm
(v)
12

4
√

3

cm

&

23

cm

Question 4

4.

In the given figure, △BDC is right angled at C. If BC = 7 cm and ∠D = 30°, find BD

(i)

12

cm
(ii)

15

cm
(iii)

17

cm
(iv)

13

cm
(v)

14

cm

Question 5

5.

In the given figure, △HJI is right angled at I. If HI = 9 cm and ∠J = 30°, find IJ

(i)

27

cm
(ii)

27
2

√

2

cm
(iii)

9

√

18

cm
(iv)

9

cm
(v)

9

√

3

cm

Question 6

6.

In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find AD

(i)

5

cm
(ii)

4

cm
(iii)

6

cm
(iv)

2

cm
(v)

3

cm

Question 7

7.

In the given figure, △CED is right angled at D. If CD = 9 cm and ∠E = 30°, find EF

(i)

25
2

cm
(ii)

29
2

cm
(iii)

27
4

cm
(iv)

27

cm
(v)

27
2

cm

Question 8

8.

In the given figure, △ACB is right angled at B. If AB = 14 cm and ∠C = 45°, find AC

(i)

28

cm
(ii)

14

cm
(iii)

7

√

12

cm
(iv)

14

√

2

cm
(v)

28

√

3

cm

Question 9

9.

In the given figure, △DFE is right angled at E. If DE = 13 cm and ∠F = 45°, find EF

(i)

12

cm
(ii)

14

cm
(iii)

13

cm
(iv)

11

cm
(v)

16

cm

Question 10

10.

In the given figure, △BDC is right angled at C. If BC = 15 cm and ∠D = 45°, find BE

(i)

15

cm
(ii)

15

√

3

cm
(iii)

15
4

√

12

cm
(iv)

15
2

√

2

cm
(v)

15
2

cm

Question 11

11.

In the given figure, △HJI is right angled at I. If HI = 13 cm and ∠J = 45°, find JK

(i)

13

√

3

cm
(ii)

13
4

√

12

cm
(iii)

13

cm
(iv)

13
2

√

2

cm
(v)

13
2

cm

Question 12

12.

In the given figure, △IKJ is right angled at J. If IJ = 23 cm and ∠K = 60°, find IK

(i)

46
3

√

3

cm
(ii)

23

√

2

cm
(iii)

46
3

cm
(iv)

46

cm
(v)

46
3

√

18

cm

Question 13

13.

In the given figure, △HJI is right angled at I. If HI = 27 cm and ∠J = 60°, find IJ

(i)

27
2

√

2

cm
(ii)

27

cm
(iii)

9

cm
(iv)

9

√

3

cm
(v)

9

√

18

cm

Question 14

14.

In the given figure, △GIH is right angled at H. If GH = 25 cm and ∠I = 60°, find GJ

(i)

25
2

√

18

cm
(ii)

25
2

cm
(iii)

75
4

√

2

cm
(iv)

25
2

√

3

cm
(v)

75
2

cm

Question 15

15.

In the given figure, △IKJ is right angled at J. If IJ = 24 cm and ∠K = 60°, find KL

(i)

4

cm
(ii)

4

√

18

cm
(iii)

4

√

3

cm
(iv)

6

√

2

cm
(v)

12

cm

Question 16

16.

A chord of 12 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

5.0 cm
(ii)

7.0 cm
(iii)

6.0 cm
(iv)

4.0 cm
(v)

8.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 10 cm. Find the length of its sides.

(i)

10

√

18

cm
(ii)

10

√

3

cm
(iii)

10

cm
(iv)

30

cm
(v)

15

√

2

cm

Question 18

18.

In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 13 cm. T is the mid-point of DF. Find TF

(i)

13
6

√

3

cm
(ii)

13
6

cm
(iii)

13
2

cm
(iv)

13
6

√

18

cm
(v)

13
4

√

2

cm

Question 19

19.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 16 cm. Q is the mid-point of IK. Find ∠QJK using tables.

(i)

13 ° 6 '
(ii)

16 ° 6 '
(iii)

18 ° 6 '
(iv)

14 ° 6 '
(v)

19 ° 6 '

Question 20

20.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 14 cm. T is the mid-point of IK. Find the length of the altitude from K to IJ.

(i)

6

cm
(ii)

9

cm
(iii)

7

cm
(iv)

5

cm
(v)

8

cm

Question 21

21.

In the given figure, △HIJ is a right angle triangle with ∠J = 90° and IJ = 14 cm. T is the mid-point of HJ. Find ∠TIH using tables.

(i)

10 ° 54 '
(ii)

11 ° 54 '
(iii)

13 ° 54 '
(iv)

16 ° 54 '
(v)

15 ° 54 '

Question 22

22.

In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 15 cm. P is the mid-point of AC. Find PC

(i)

8

cm
(ii)

15
2

cm
(iii)

29
4

cm
(iv)

17
2

cm
(v)

13
2

cm

Question 23

23.

In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 14 cm. T is the mid-point of BD. Find ∠TCD using tables.

(i)

23 ° 34 '
(ii)

24 ° 34 '
(iii)

29 ° 34 '
(iv)

28 ° 34 '
(v)

26 ° 34 '

Question 24

24.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 15 cm. R is the mid-point of JL. Find the length of the altitude from L to JK.

(i)

15

√

3

cm
(ii)

15
2

√

2

cm
(iii)

15
4

√

12

cm
(iv)

15

cm
(v)

15
2

cm

Question 25

25.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 16 cm. P is the mid-point of EG. Find ∠PFE using tables.

(i)

15 ° 26 '
(ii)

18 ° 26 '
(iii)

20 ° 26 '
(iv)

21 ° 26 '
(v)

16 ° 26 '

Question 26

26.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 16 cm. P is the mid-point of CE. Find PE

(i)

8

√

3

cm
(ii)

12

√

2

cm
(iii)

24

cm
(iv)

8

cm
(v)

8

√

18

cm

Question 27

27.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 17 cm. T is the mid-point of EG. Find ∠TFG using tables.

(i)

37 ° 53 '
(ii)

42 ° 53 '
(iii)

40 ° 53 '
(iv)

43 ° 53 '
(v)

38 ° 53 '

Question 28

28.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 15 cm. T is the mid-point of EG. Find the length of the altitude from G to EF.